Question

Find the derivative:

Answer 1

\[\LARGE y=5^{2x}~ln\sqrt{x}\]

Answer 2

\[
5^{2x}=25^x
\]

Answer 3

\[
\ln\sqrt x=\frac { \ln x}2
\]

Answer 4

Use product rule.

Answer 5

\[\LARGE (2*5^{2x}~ln\sqrt{x})+(5^{2x}*\frac{1}{\sqrt{x}}*\frac{1}{2}x^{-1/2})\]
Uh, I think keeping the 5^2x was a bad idea xD

Answer 6

Yea, I probably screwed that up big time.

Answer 7

Uhm, \[\LARGE \frac{d}{dx}~5^{2x}=2*5^{2x}*ln5\]?

Answer 8

Yes

Answer 9

\[\LARGE (2*5^{2x}*ln5*ln\sqrt{x})+(5^{2x}*\frac{1}{2x})\]
Okay there xD

Answer 10

You could have done it the easy way...

Answer 11

Gotta learn the basic way first I suppose xD